I guess this question fits here, right then, I am stuck with pure mathematics, how the hell am I supposed to integrate lnx/x^2 ??? ive spent hours and hours it just doesn't integrate right!
Ive been using integration by parts, which is required by the question
INT u dv/dx dx = uv  INT v du/dx dx
Integration?  Math
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 Velociraptor
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Re: Integration?  Math
Sure, here we go:
So you have f(x) = ln(x)x^2
Let u = ln(x)
So, du/dx = x^1
Thus, du = x^1 dx
Now, let dv/dx = x^2
Therefore, integrate dv/dx to get v = x^1
Now for integration by parts:
INT u.dv = uv  INT v.du Sub in the above results.
= ln(x).x^1  INT x^1 . x^1 . dx
= ln(x).x^1  INT x^2 . dx
= ln(x).x^1  x^1 + C  But lets just ignore the constant C.
= ln(x).x^1  x^1
Therefore, INT u.dv = ln(x).x^1  x^1 = x^1(ln(x)+1)
Hope that helps.
So you have f(x) = ln(x)x^2
Let u = ln(x)
So, du/dx = x^1
Thus, du = x^1 dx
Now, let dv/dx = x^2
Therefore, integrate dv/dx to get v = x^1
Now for integration by parts:
INT u.dv = uv  INT v.du Sub in the above results.
= ln(x).x^1  INT x^1 . x^1 . dx
= ln(x).x^1  INT x^2 . dx
= ln(x).x^1  x^1 + C  But lets just ignore the constant C.
= ln(x).x^1  x^1
Therefore, INT u.dv = ln(x).x^1  x^1 = x^1(ln(x)+1)
Hope that helps.
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Re: Integration?  Math
I had thought this would be a question regarding numerical integration and computers, given the section where it was being asked... turned out to be simple mathematical integration instead.
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 Shadow Wolf
 Albertosaurus
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Re: Integration?  Math
thanks god I gave up maths after my GCSEs
post something intelligent before I go insane from a combination of exhaustion and boredom
Re: Integration?  Math
Hey thanks Chris! I had figured out how to do this, iam still learning to integrate by parts, turned out i wasn't using the formula properly. But thanks again! Iam sure of the way to use the formula now.

 Albertosaurus
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Re: Integration?  Math
This makes me miss math

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Re: Integration?  Math
Everyone's favorite integral:
INT sqrt(tanx)dx
INT sqrt(tanx)dx
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